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Finding the Third Proportional to 125,531 and 175,579

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Solution

The third proportional to 125,531 and 175,579 is: 245,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,531 : 175,579 = 175,579 : x
  2. Step 2: Convert to fraction form
    125,531/175,579 = 175,579/x
  3. Step 3: Cross multiply
    125,531x = 175,579 × 175,579
  4. Step 4: Simplify right side
    125,531x = 30,827,985,241
  5. Step 5: Solve for x
    x = 30,827,985,241/125,531
  6. Step 6: Final answer
    x = 245,580.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.